Whoa! I have a 36’ MT sundeck. She is 18’5”. I can collapse the fly bridge, but it still would not be under 14’ because of the radar arch and davit arm. Why not consider hiring a captain to make the trip along with you. It would also serve as a great learning experience. Personally I prefer blue water cruising over cruising the intracoastal.
You will most likely travel at 8-9 knots depending on conditions although I have a 160 Mercedes engine. It might be slightly different with a 120 Lehman.
There is so much to take into consideration with this relocation. I would plan on a month from Maine to Florida, driving 8-9 hours a day.